5 problems

Let $k\ge 3$ boundary regions be connected by hyperthreads, where a hyperthread is a thread connecting multiple boundary regions, and let the $k$-thread program be the correspondin…

Consider the entanglement structure of a holographic system with three boundary parties. Mostly bipartite conjecture. The three-party entanglement structure of holographic systems…

Let $\Sigma$ be a network with $n\geq2$ boundary vertices. An extremal-ray realization is a subnetwork whose entropy vector realizes an extremal ray of the $n$-boundary-region holo…

Let $\Sigma$ be a network with four boundary vertices $A_1,\ldots,A_4$, and let $I(A_i:A_j)$ denote the mutual information between $A_i$ and $A_j$ on $\Sigma$. Let…

Let $|\psi\rangle_{A_1\dots A_n}$ be a pure state on $n$ parties. An extremal ray of the $n$-party holographic entropy cone is an extremal ray in that cone, represented by a state.…